摘要

We determine the Hodge group of certain simple factor of the Jacobian of the superelliptic curve y(q) = f(x), assuming that the ground field is a subfield of the complex numbers, f(x) is an degree n >= 4 irreducible polynomial with "large" galois group, and q is a prime power coprime to n and greater than n. The case q < n was previous treated in a joint work with Yu.G. Zarhin.